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 Title: Families of Rank Zero Twists of Elliptic Curves Author(s): Iskra, Boris Doctoral Committee Chair(s): Boston, Nigel Department / Program: Mathematics Discipline: Mathematics Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(s): Mathematics Abstract: The objective of this thesis is to generalize this result to a bigger class of elliptic curves. We are going to generalize Serf's result to the family of elliptic curves with full 2-torsion, i.e. elliptic curves of the form $E:y\sp2 = (x-e\sb1)(x-e\sb2)(x-e\sb3)$ with $e\sb{i}\in\doubz.$ We can also assume that $e\sb1 = 0$ and that $e\sb2$ and $e\sb3$ are both odd. Issue Date: 1998 Type: Text Language: English Description: 48 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998. URI: http://hdl.handle.net/2142/86961 Other Identifier(s): (MiAaPQ)AAI9904488 Date Available in IDEALS: 2015-09-28 Date Deposited: 1998
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